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### Why transverse slices?

I would like to know why people are interested in transverse slices. In particular, I would like to know why people study the Slodowy slice to orbits in the nilpotent cone. In Chriss and Ginzburg's ...

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### Slodowy slices for two-block nilpotents

My question is about an isomorphism between two varieties of the form discussed in this thread; it is also related to an earlier question of mine.
Let $z_n$ be the standard nilpotent of type $(n,n)$. ...

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### Regular Functions on Slodowy Slices

I recently learned that there is a natural identification, given a simple Lie algebra,
Polynomial functions on the Slodowy slice of a regular nilpotent orbit $\simeq$ polynomial functions on the ...

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### Does the preimage of the Slodowy slice in $T^*G/P$ have a name?

Let $G$ be your favorite simple complex Lie group, and $P\subset G$ your favorite parabolic subgroup. We can identify $T^*G/P$ with the space of pairs $$\{(gP,x)\in G/P\times \mathfrak g | x\perp ...